Precalculus Examples

$\tan (a) \cdot (\cos^{2} (a) (a))$

Step 1

Rewrite $\tan (a)$ in terms of sines and cosines.

$\frac{\sin (a)}{\cos (a)} \cdot (\cos^{2} (a) (a))$

Step 2

Cancel the common factor of $\cos (a)$ .

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Step 2.1

Factor $\cos (a)$ out of $\cos^{2} (a) (a)$ .

$\frac{\sin (a)}{\cos (a)} \cdot (\cos (a) (\cos (a) a))$

Step 2.2

Cancel the common factor.

$\frac{\sin (a)}{\cos (a)} \cdot (\cos (a) (\cos (a) a))$

Step 2.3

Rewrite the expression.

$\sin (a) \cdot (\cos (a) a)$

Step 3

Reorder factors in $\sin (a) \cos (a) a$ .

$a \sin (a) \cos (a)$